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Finding the Third Proportional to 335,632 and 508,323

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Solution

The third proportional to 335,632 and 508,323 is: 769,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,632 : 508,323 = 508,323 : x
  2. Step 2: Convert to fraction form
    335,632/508,323 = 508,323/x
  3. Step 3: Cross multiply
    335,632x = 508,323 × 508,323
  4. Step 4: Simplify right side
    335,632x = 258,392,272,329
  5. Step 5: Solve for x
    x = 258,392,272,329/335,632
  6. Step 6: Final answer
    x = 769,867.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.